Test: Simple Stress & Strain Level - 2 - Mechanical Engineering MCQ

# Test: Simple Stress & Strain Level - 2 - Mechanical Engineering MCQ

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## 20 Questions MCQ Test Strength of Materials (SOM) - Test: Simple Stress & Strain Level - 2

Test: Simple Stress & Strain Level - 2 for Mechanical Engineering 2024 is part of Strength of Materials (SOM) preparation. The Test: Simple Stress & Strain Level - 2 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Simple Stress & Strain Level - 2 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Simple Stress & Strain Level - 2 below.
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Test: Simple Stress & Strain Level - 2 - Question 1

### The cross sections of two hollow bars made of the same material are concentric circles as shown in the figure. It is given that r3​>r1​ and r4​>r2​ and that the areas of the cross-sections are the same.J1 and J2 are the torsional rigidities of the bars on the left and right, respectively. The ratio J2/J1 is

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 1

C.S. area of both is same

Torsional rigidity

Test: Simple Stress & Strain Level - 2 - Question 2

### A cantilever beam having square cross-section of side a is subjected to an end load. If a is increased by 19%, the tip deflection decreases approximately by

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 2

For square c-s

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Test: Simple Stress & Strain Level - 2 - Question 3

### A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young's moduli for the sections AB and BC are 3E and E, respectively For the deflection at C to be zero, the ratio P/F is ____________

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 3

Test: Simple Stress & Strain Level - 2 - Question 4

A hypothetical engineering stress-strain curve shown in the figure has three straight lines PQ, QR, RS with coordinates P(0,0), Q(0.2,100), R(0.6,140) and S(0.8,130). 'Q' is the yield point, 'R' is the UTS point and 'S' the fracture point.

The toughness of the material (in MJ/m3) is __________

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 4

Toughness is area of curve upto S on strain axis

Test: Simple Stress & Strain Level - 2 - Question 5

A machine element XY, fixed at end X, is subjected to an axial load P, transverse load F, and a twisting moment T at its free end Y. The most critical point from the strength point of view is

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 5

Both bending stress and shear stress (due to torque) will be max at the circumference. The bending stress will be maximum at x. Hence, critical section will be at a point on the circumference at location x.

Test: Simple Stress & Strain Level - 2 - Question 6

A thin cylindrical pressure vessel with closed-ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to the longitudinal stress is

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 6

For thin cylinder
Circumferential stress

Longitudinal stress,

Test: Simple Stress & Strain Level - 2 - Question 7

A rigid horizontal rod of length 2L is fixed to a circular cylinder of radius R as shown in the figure. Vertical forces of magnitude P are applied at the two ends as shown in the figure. The shear modulus for the cylinder is G and the Young's modulus is E.

The vertical deflection at point A is

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 7

Angle of twist θ

∴ Vertical deflection of A

Test: Simple Stress & Strain Level - 2 - Question 8

A square plate of dimension L x L is subjected to a uniform pressure load p = 250 MPa on its edges as shown in the figure. Assume plane stress conditions. The Young's modulus E = 200 GPa.

The deformed shape is a square of dimension L−2δ . If L= 2 m and δ=0.001 m, the Poisson's ratio of the plate material is __________

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 8

Strain in horizontal direction

Test: Simple Stress & Strain Level - 2 - Question 9

Two circular shafts made of same material, one solid (S) and one hollow (H), have the same length and polar moment of inertia. Both are subjected to same torque. Here, θs​ is the twist and τs​ is the maximum shear stress in the solid shaft, whereas θH​ is the twist and τH​ is the maximum shear stress in the hollow shaft. Which one of the following is TRUE?

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 9

Angle of twist

Test: Simple Stress & Strain Level - 2 - Question 10

A beam of length L is carrying a uniformly distributed load w per unit length. The flexural rigidity of the beam is EI. The reaction at the simple support at the right end is

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 10

Test: Simple Stress & Strain Level - 2 - Question 11

The poisson's ratio for a perfectly incompressible linear material is

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 11

For perfectly incompressible material, poisson's ratio =0.5
(if change in vol. should be zero, μ=0.5)

Test: Simple Stress & Strain Level - 2 - Question 12

A motor is driving a solid circular steel shaft transmits 40kW of power at 500 rpm. If the diameter of the shaft is 40 mm, The maximum shear stress in the shaft is ____MPa.

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 12

Test: Simple Stress & Strain Level - 2 - Question 13

Consider a beam with circular cross-section of diameter d. The ratio of the second moment of area about the neutral axis to the section modulus of the area is.

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 13

For a solid circular cross-section
Ymax​=d/2

Test: Simple Stress & Strain Level - 2 - Question 14

In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 14

Ultimate tensile strength represents the max. stress that a material can withstand without fracture.

Test: Simple Stress & Strain Level - 2 - Question 15

A cantilever beam of length L and flexural modulus EI is subjected to a point load P at the free end. The elastic strain energy stored in the beam due to bending (neglecting transverse shear) is

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 15

Let U is the S.E. in the beam due to B.M. (M)

Test: Simple Stress & Strain Level - 2 - Question 16

For a loaded cantilever beam of uniform cross-section, the bending moment (in N.mm) along the length is M(x)=5x2+10x , where x is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at x=10 mm is

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 16

We know that at section X-X

Test: Simple Stress & Strain Level - 2 - Question 17

A steel bar is held by two fixed supports as shown in the figure and is subjected to an increases of temperature ΔT=100C.If the coefficent of thermal exapnasion and young's modules of elasticity of steel are 11×10−6/C and 200GPa, respectively, the magnitude of thermal stress (in MPa) induced in the bar is _____

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 17

We know that for completely restricted expansion, thermal stress developed in bar is given by

=11×10−6×100×200×103
=220MPa(comp. in native)​

Test: Simple Stress & Strain Level - 2 - Question 18

A rod of length 20mm is stretched to make a rod of length 40 mm. Subsequently, it is compressed to make a rod of final length 10 mm. Consider the longitudinal tensile strain as positive and compressive strain as negative. The total true longitudinal strain in the rod is_______

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 18

Test: Simple Stress & Strain Level - 2 - Question 19

If σ1​ and σ3​ are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 19

Maximum shear stress =

Test: Simple Stress & Strain Level - 2 - Question 20

For an Oldham coupling used between two shafts, which among the following statements are correct?
I. Torsional load is transferred along shaft axis.
II. A velocity ratio of 1:2 between shafts is obtained without using gears.
III. Bending load is transferred transverse to shaft axis.
IV. Rotation is transferred along shaft axis.

Detailed Solution for Test: Simple Stress & Strain Level - 2 - Question 20

Oldham coupling is used to connect two shafts which are not on the same axis means they are not aligned to the same axis
So,
(1) Torsional load is transferred along shaft axis as both shafts are rotating member.
So, that statement is correct.
(2) A velocity ratio 1:1 between shafts is obtained using gears.
So, this statement is wrong
(3) Bending load is not transferred transverse to shaft axis as there is no transverse load.
(4) Rotation is transferred along shaft axis
So, this statement is correct

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